190440 has 72 divisors (see below), whose sum is σ = 647010. Its totient is φ = 48576.

The previous prime is 190409. The next prime is 190471. The reversal of 190440 is 44091.

It is an interprime number because it is at equal distance from previous prime (190409) and next prime (190471).

It can be written as a sum of positive squares in only one way, i.e., 171396 + 19044 = 414^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

190440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8269 + ... + 8291.

2¹⁹⁰⁴⁴⁰ is an apocalyptic number.

190440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323505).

190440 is an abundant number, since it is smaller than the sum of its proper divisors (456570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190440 is a wasteful number, since it uses less digits than its factorization.

190440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 190440 is about 436.3943171032. The cubic root of 190440 is about 57.5333140283.

It can be divided in two parts, 190 and 440, that added together give a triangular number (630 = T₃₅).

The spelling of 190440 in words is "one hundred ninety thousand, four hundred forty".